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comment Draw a non-planar graph whose complement is a non-planar graph
Add this an answer, I will accept it. I returned to doing graph theory again and now this idea appears so simple. To quote an example, I drew UG and added six more isolated vertices. Now, in G' K6 is a subgraph and therefore G' is nonplanar.
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revised Draw a non-planar graph whose complement is a non-planar graph
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asked Draw a non-planar graph whose complement is a non-planar graph